If it weren't for electricity we'd all be watching television by candlelight. - George Gobel

Here is the answer to one of our math puzzles. There are several other puzzles to enjoy. Please click to see all our math puzzles.

The numbers of goals scored by the 11 players were 5, 7, 11, 13, 17, 19, 29, 31, 37, 41 and 43.

There are 14 primes which are less than 45, the eleven from the correct answer plus 2, 3, and 23. The sum of all 14 = 281. The sum of the smallest 11 = 160. The sum of the largest 11 = 271.

Let A = the average score of the 11 players. Then A must be a prime between 14.5 and 24.6 which could be 17, 19 or 23.

Let S = the sum of two primes which are not used as one of the 11 scores or the average score. Then S = 281 - 11A - A = 281 - 12A.

If we substitute the three possible values for A we get S = 77, 51 or 5. So the only solution is S = 2 + 3 and A = 23. The average score is 23.

Home Brain Teasers Cryptic Math Puzzles Logic Puzzles Math Puzzles Hard Math Puzzles Word Picture Puzzles

### Logic Games

Play Mastermind Same Game Play ShisenSho

### Other Games

Car Games Skiing Games Football Games Classic Number Games Magic Square Game
Work Puns Hilarious Blonde Jokes I have Learned...
Free Games Site Free Child Games PC Computer Games Play 3D Driver Free Games Site Antaris Online Game
Stereograms Optical Illusions Optical Illusions Book

How fast are your reactions? Click this button to find out.

Report A Broken Link Contact Information

 Brain-Fun.com Site Map | Terms of Use | Privacy & Security | Contact Us | Purchase Agreement | Send Feedback Brain Teasers, Logic Puzzles, and other Fun Brain Activities © 1996-2005 by Brain-Fun.com All Rights Reserved.